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The locus of the intersection point of `x cos alpha +y sin alpha=a` and `x sin alpha- y cos alpha=b` is |
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Answer» let the locus be `P(H,K)` `hcos alpha + k sin alpha = a` `h sin alpha - kcos alpha = b` by solving bith, we get `h^2(sin^2 alpha + cos^2 alpha) + k^2(sin^2 alpha + cos^2 alpha) = a^2 + b^2` `sin^2 alpha + cos^2 alpha = 1` `h^2 + k^2 = a^2 + b^2 ` locus of point P(h,k)`x^2 + y^2= a^2 + b^2 ` Answer |
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